Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{16}{\sqrt{15}}\)
2. \(\frac{41}{\sqrt{5}}\)
3. \(\frac{26}{\sqrt{10}}\)
4. \(\frac{50}{\sqrt{11}}\)
5. \(\frac{41}{\sqrt{8}}\)
6. \(\frac{36}{\sqrt{19}}\)
7. \(\frac{31}{\sqrt{2}}\)
8. \(\frac{45}{\sqrt{3}}\)
9. \(\frac{45}{\sqrt{6}}\)
10. \(\frac{59}{\sqrt{11}}\)
11. \(\frac{47}{\sqrt{8}}\)
12. \(\frac{45}{\sqrt{14}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{16}{\sqrt{15}}=\frac{16\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{16\cdot\sqrt{15}}{15}\)
2. \(\frac{41}{\sqrt{5}}=\frac{41\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{41\cdot\sqrt{5}}{5}\)
3. \(\frac{26}{\sqrt{10}}=\frac{26\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{26\cdot\sqrt{10}}{10}=\frac{13\cdot\sqrt{10}}{5}\)
4. \(\frac{50}{\sqrt{11}}=\frac{50\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{50\cdot\sqrt{11}}{11}\)
5. \(\frac{41}{\sqrt{8}}=\frac{41\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{41\cdot\sqrt{8}}{8}\)
6. \(\frac{36}{\sqrt{19}}=\frac{36\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{36\cdot\sqrt{19}}{19}\)
7. \(\frac{31}{\sqrt{2}}=\frac{31\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{31\cdot\sqrt{2}}{2}\)
8. \(\frac{45}{\sqrt{3}}=\frac{45\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{45\cdot\sqrt{3}}{3}=15\cdot\sqrt{3}\)
9. \(\frac{45}{\sqrt{6}}=\frac{45\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{45\cdot\sqrt{6}}{6}=\frac{15\cdot\sqrt{6}}{2}\)
10. \(\frac{59}{\sqrt{11}}=\frac{59\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{59\cdot\sqrt{11}}{11}\)
11. \(\frac{47}{\sqrt{8}}=\frac{47\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{47\cdot\sqrt{8}}{8}\)
12. \(\frac{45}{\sqrt{14}}=\frac{45\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{45\cdot\sqrt{14}}{14}\)